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Finding the Fourth Proportional to 137,114.67, 189,138.95 and 82,629.69

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Solution

The fourth proportional to 137,114.67, 189,138.95 and 82,629.69 is: 113,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.67 : 189,138.95 = 82,629.69 : x
  2. Step 2: Convert to fraction form
    137,114.67/189,138.95 = 82,629.69/x
  3. Step 3: Cross multiply
    137,114.67x = 189,138.95 × 82,629.69
  4. Step 4: Simplify right side
    137,114.67x = 15,628,491,992.87
  5. Step 5: Solve for x
    x = 15,628,491,992.87/137,114.67
  6. Step 6: Final answer
    x = 113,981.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.